Three 12.0 resistors are connected in series with a 15.0 V battery. Find the fol

Question

Three 12.0 resistors are connected in series with a 15.0 V battery. Find the following. (a) the equivalent resistance of thecircuit
1

(b) the current in each resistor
2 A

(c) Repeat for the case in which all three resistors are connectedin parallel across the battery. equivalent resistance 3 current in each resistor 4 A (a) the equivalent resistance of thecircuit
1

(b) the current in each resistor
2 A

(c) Repeat for the case in which all three resistors are connectedin parallel across the battery. equivalent resistance 3 current in each resistor 4 A equivalent resistance 3 current in each resistor 4 A

Explanation / Answer

Resistance R = 12 ohm

Voltage V = 15 V

(a). equivalent resistance R ‘ = R + R + R = 3R = 36ohm

(b). current in each resistor I = V / R ‘

                                               = 0.4166 A

(c).. Equivalent resistance R “ = R / 3 = 4 ohm

Total current I ‘ = V / R “

                          = 3.75 A

Current in each resistor I “ = I ‘/ 3

                                           = 1.25 A

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